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131332102110 = 23351144219563
BaseRepresentation
bin111101001010000000…
…0001101011111011110
3110112222202112001012000
41322110000031133132
54122432004231420
6140155542423130
712326350306656
oct1722400153736
9415882461160
10131332102110
1150774603170
1221552a31aa6
13c4ccb6c531
1464dc385366
153639c95690
hex1e9400d7de

131332102110 has 64 divisors (see below), whose sum is σ = 382057032960. Its totient is φ = 31838084640.

The previous prime is 131332102103. The next prime is 131332102169. The reversal of 131332102110 is 11201233131.

131332102110 is a `hidden beast` number, since 1 + 313 + 321 + 0 + 21 + 10 = 666.

131332102110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22106812 + ... + 22112751.

It is an arithmetic number, because the mean of its divisors is an integer number (5969641140).

Almost surely, 2131332102110 is an apocalyptic number.

131332102110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131332102110 is an abundant number, since it is smaller than the sum of its proper divisors (250724930850).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131332102110 is a wasteful number, since it uses less digits than its factorization.

131332102110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44219590 (or 44219584 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131332102110 its reverse (11201233131), we get a palindrome (142533335241).

The spelling of 131332102110 in words is "one hundred thirty-one billion, three hundred thirty-two million, one hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 44219563 88439126 132658689 221097815 265317378 397976067 442195630 486415193 663293445 795952134 972830386 1193928201 1326586890 1459245579 1989880335 2387856402 2432075965 2918491158 3979760670 4377736737 4864151930 5969641005 7296227895 8755473474 11939282010 13133210211 14592455790 21888683685 26266420422 43777367370 65666051055 131332102110